34385040 has 80 divisors (see below), whose sum is σ = 118444800. Its totient is φ = 9168768.

The previous prime is 34385027. The next prime is 34385051. The reversal of 34385040 is 4058343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34384995 and 34385013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5800 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (1480560).

Almost surely, 2^34385040 is an apocalyptic number.

34385040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34385040 is an abundant number, since it is smaller than the sum of its proper divisors (84059760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34385040 is a wasteful number, since it uses less digits than its factorization.

34385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15929 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34385040 is about 5863.8758513461. The cubic root of 34385040 is about 325.1795142390.

The spelling of 34385040 in words is "thirty-four million, three hundred eighty-five thousand, forty".